Which statement illustrates the additive identity?

a)3+0=3 b)3-3=0 c)3*0=0 d)3*1=3

The additive identity refers to the number that, when added to any other number, does not change its value. In other words, it is the number that leaves other numbers unchanged when added to them.

To identify which statement illustrates the additive identity among the given options, we need to understand the concept of the additive identity. The additive identity is the number 0.

Let's evaluate each statement to determine which one shows the additive identity:

a) 3+0=3: This statement shows that when we add 0 to 3, we get 3. In this case, 0 does not change the value of 3.

b) 3-3=0: This statement represents subtraction, not addition. It does not illustrate the additive identity.

c) 3*0=0: This statement represents multiplication, not addition. It does not illustrate the additive identity.

d) 3*1=3: This statement shows that when we multiply 3 by 1, we get 3. Although it shows the multiplicative identity (which is 1), it does not illustrate the additive identity.

From the given options, option a) 3+0=3 is the statement that illuminates the additive identity because adding 0 to any number leaves its value unchanged.

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